Question

If the sum of a number and its square is
6/25
then find the number.​

Answer 1

Answer:

1/5 or -6/5

Step-by-step explanation:

Let the no. be x.

=> x+x²=6/25

=> x²+x-6/25=0

=>25x²+25x-6=0

=>25x²+30x-5x-6=0

=>5x(5x+6)-(5x+6)=0

=>(5x-1)(5x+6)=0

=>x=1/5 or -6/5

Hence, the no. is 1/5 or -6/5.

Answer 2

Answer:

The answer is 1/5.

Step-by-step explanation:

According to the question the equation wiil be,

$x^{2}+x=\frac{6}{25} \\25(x^{2}+x)=6\\25x^{2}+25x=6\\25x^{2}+25x-6=0$

Now,

$25x^{2}+25x-6=0$

$25x^{2}+30x-5x-6=0$

$5x(5x+6)-1(5x+6)=0$

$(5x-1)(5x+6)$

Therefore one value for x = 1/5 and the other is -6/5.